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Derived Poincaré–Birkhoff–Witt theorems

Published:2023-01-25 Issue:1 Volume:113 Page:
ISSN:0377-9017
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Khoroshkin Anton,Tamaroff Pedro

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s11005-022-01617-z.pdf

Reference23 articles.

1. Baranovsky, V.: A universal enveloping for L$$_{\infty }$$-algebras. Math. Res. Lett. 15(6), 1073–1089 (2008)

2. Fernández, J.M.M.: The Milnor-Moore theorem for L$$_{\infty }$$-algebras in rational homotopy theory. Math. Z. (2021). https://doi.org/10.1007/s00209-021-02838-z

3. Loday, J.-L., Vallette, B.: Algebraic operads, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 346, Springer, Heidelberg (2012)

4. Félix, Y., Halperin, S., Thomas, J.-C.: Rational Homotopy Theory. Springer, New York (2001)

5. Dotsenko, V., Tamaroff, P.: Endofunctors and Poincaré-Birkhoff-Witt theorems. Int. Math. Res. Not. IMRN (2019) arXiv:1804.06485 [math.CT

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1. Three Schur functors related to pre-Lie algebras;Mathematical Proceedings of the Cambridge Philosophical Society;2023-10-16

2. From the Lie Operad to the Grothendieck–Teichmüller Group;International Mathematics Research Notices;2023-09-27

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